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2203041220 = 2251721133373
BaseRepresentation
bin1000001101001111…
…1011110111000100
312200112102002102021
42003103323313010
514002434304340
61002334452524
7105410353462
oct20323736704
95615362367
102203041220
11a30617526
12515964144
132915579b3
1416c82d832
15cd61ce4a
hex834fbdc4

2203041220 has 72 divisors (see below), whose sum is σ = 4959496584. Its totient is φ = 821796864.

The previous prime is 2203041209. The next prime is 2203041251. The reversal of 2203041220 is 221403022.

It can be written as a sum of positive squares in 12 ways, for example, as 51380224 + 2151660996 = 7168^2 + 46386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2203041194 and 2203041203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651454 + ... + 654826.

It is an arithmetic number, because the mean of its divisors is an integer number (68881897).

Almost surely, 22203041220 is an apocalyptic number.

2203041220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2203041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479748292).

2203041220 is an abundant number, since it is smaller than the sum of its proper divisors (2756455364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2203041220 is a wasteful number, since it uses less digits than its factorization.

2203041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2203041220 is about 46936.5659161383. The cubic root of 2203041220 is about 1301.1904716261.

Adding to 2203041220 its reverse (221403022), we get a palindrome (2424444242).

The spelling of 2203041220 in words is "two billion, two hundred three million, forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 289 340 452 565 578 1130 1156 1445 1921 2260 2890 3373 3842 5780 6746 7684 9605 13492 16865 19210 32657 33730 38420 57341 65314 67460 114682 130628 163285 229364 286705 326570 381149 573410 653140 762298 974797 1146820 1524596 1905745 1949594 3811490 3899188 4873985 6479533 7622980 9747970 12959066 19495940 25918132 32397665 64795330 110152061 129590660 220304122 440608244 550760305 1101520610 2203041220